40349417472 has 720 divisors, whose sum is σ = 149614646272. Its totient is φ = 10192158720.

The previous prime is 40349417461. The next prime is 40349417513. The reversal of 40349417472 is 27471494304.

40349417472 is a `hidden beast` number, since 403 + 4 + 9 + 4 + 174 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 415973328 + ... + 415973424.

Almost surely, 2^40349417472 is an apocalyptic number.

40349417472 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40349417472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74807323136).

40349417472 is an abundant number, since it is smaller than the sum of its proper divisors (109265228800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40349417472 is a wasteful number, since it uses less digits than its factorization.

40349417472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 40349417472 in words is "forty billion, three hundred forty-nine million, four hundred seventeen thousand, four hundred seventy-two".